Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/9930
Title: A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows
Authors: Jiang, Y
Xiong, T
Wong, SC
Shu, CW
Zhang, M
Zhang, P
Lam, WHK 
Keywords: 76M12
Conservation law
Density-velocity relationship
Eikonal-type equation
Fast marching method
Finite volume method
Pedestrian flows
Unstructured grids
Issue Date: 2009
Source: Acta mathematica scientia, 2009, v. 29, no. 6, p. 1541-1555 How to cite?
Journal: Acta Mathematica Scientia 
Abstract: In this paper, a reactive dynamic user equilibrium model is extended to simulate two groups of pedestrians traveling on crossing paths in a continuous walking facility. Each group makes path choices to minimize the travel cost to its destination in a reactive manner based on instantaneous information. The model consists of a conservation law equation coupled with an Eikonal-type equation for each group. The velocity-density relationship of pedestrian movement is obtained via an experimental method. The model is solved using a finite volume method for the conservation law equation and a fast-marching method for the Eikonal-type equation on unstructured grids. The numerical results verify the rationality of the model and the validity of the numerical method. Based on this continuum model, a number of results, e.g., the formation of strips or moving clusters composed of pedestrians walking to the same destination, are also observed.
URI: http://hdl.handle.net/10397/9930
ISSN: 0252-9602
DOI: 10.1016/S0252-9602(10)60002-1
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

29
Last Week
0
Last month
0
Citations as of Oct 24, 2017

WEB OF SCIENCETM
Citations

25
Last Week
0
Last month
0
Citations as of Sep 22, 2017

Page view(s)

36
Last Week
0
Last month
Checked on Oct 22, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.